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Finding the Fourth Proportional to 347,113.92, 479,004.12 and 196,214.16

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Solution

The fourth proportional to 347,113.92, 479,004.12 and 196,214.16 is: 270,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,113.92 : 479,004.12 = 196,214.16 : x
  2. Step 2: Convert to fraction form
    347,113.92/479,004.12 = 196,214.16/x
  3. Step 3: Cross multiply
    347,113.92x = 479,004.12 × 196,214.16
  4. Step 4: Simplify right side
    347,113.92x = 93,987,391,042.34
  5. Step 5: Solve for x
    x = 93,987,391,042.34/347,113.92
  6. Step 6: Final answer
    x = 270,768.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.